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meee
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need a lil help here
thnx
thnx
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Complex numbers are numbers that have both a real and an imaginary part. They are typically written in the form a + bi, where a is the real part and bi is the imaginary part (b is a real number and i is the imaginary unit).
Complex numbers are useful for solving problems that involve square roots of negative numbers, such as in electrical engineering, physics, and other scientific fields. They also have many applications in mathematics, including in the study of polynomials and equations.
To add or subtract complex numbers, simply combine the real parts and the imaginary parts separately. For example, (3 + 4i) + (2 + 6i) = (3 + 2) + (4 + 6)i = 5 + 10i. Similarly, (3 + 4i) - (2 + 6i) = (3 - 2) + (4 - 6)i = 1 - 2i.
To multiply complex numbers, use the FOIL method (First, Outer, Inner, Last) and simplify. For example, (3 + 4i) * (2 + 6i) = 6 + 18i + 8i + 24i^2 = 6 + 18i + 8i + (-24) = -18 + 26i. To divide complex numbers, multiply the numerator and denominator by the conjugate of the denominator and simplify.
Complex numbers are represented on a graph using the complex plane, which has the real numbers as the x-axis and the imaginary numbers as the y-axis. The point (a, bi) on the complex plane represents the complex number a + bi. The distance from the origin to the point is called the magnitude or modulus, and the angle formed by the point with the positive real axis is called the argument or phase angle.